Experimental Results by McRandom Executor: Ingo Althoefer, March 2010 Self-play Results of Pure Monte-Carlo for Double-Step-Race-8 Pairing Number Score of MC(k) MC(k) vs. MC(2k) of games 1-2 100,000 42.0 % 2-4 100,000 40.6 % 3-6 100,000 40.1 % 4-8 100,000 40.0 % 5-10 100,000 39.8 % 6-12 100,000 40.1 % 7-14 100,000 40.3 % 8-16 100,000 40.9 % 9-18 100,000 41.4 % 10-20 100,000 41.6 % 16-32 100,000 44.3 % 32-64 100,000 48.5 % The score has its minimum value at or near to k=5.